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Finding the Fourth Proportional to 201,324.10, 302,022.60 and 101,232.40

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Solution

The fourth proportional to 201,324.10, 302,022.60 and 101,232.40 is: 151,866.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,324.10 : 302,022.60 = 101,232.40 : x
  2. Step 2: Convert to fraction form
    201,324.10/302,022.60 = 101,232.40/x
  3. Step 3: Cross multiply
    201,324.10x = 302,022.60 × 101,232.40
  4. Step 4: Simplify right side
    201,324.10x = 30,574,472,652.24
  5. Step 5: Solve for x
    x = 30,574,472,652.24/201,324.10
  6. Step 6: Final answer
    x = 151,866.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.